String theory is currently considered as the leading candidate for a unified theory of physics combining the Standard Model of forces and particles with gravity which is best described by Einstein theory of General Relativity. Contrary to classical model of point particle, String theory proposes that matter, force, even space and time are composed of tiny vibrating strings. This paper is to elaborate on the correspondence between string states and quantum fields by initially constructing general time-dependent states from string basis states analogous to general timedependent super-positions of basis states for a point particle. From this derivation we can show that an equation emerges from the 'classical' Schrodinger equation that represents the Schrodinger equation in String theory. This is very interesting to investigate since the Schrodinger equation is at the core of Quantum Mechanics which is the foundation of Standard Model that is the pillar of Nuclear physics.
Neutrino is one of the nuclear particles that are necessary for the correct description of nuclear beta decay. The standard idea is that it is a massless neutral particle and its existence was postulated in order to save the conservation of ener gy principle. This particle was later detected experimentally and it is now known that neutrino has mass. The problem of astrophysical neutrino detection has produced a new phenomenon of neutrino oscillation where the three neutrino flav ours can oscillate between themselves. This paper studies the two component neutrino oscillation problem. We study the neutrino oscillation by using the Lagrangian formulation. In our study, we assume that the neutrinos are produced as n eutrino mass eigenstate and propagate in the vacuum in the superposition of two neutrino flavour state. The Lagrangian for neutrinos with their mass and the oscillation terms were obtained. By using the mass matrix in the Lagrangian, we formulate the time evolution operator in the interaction picture. The neutrino oscillation probability obtained by using the Lagrangian formulation have the same result with the one obtained by using quantum mechanics formulation. This study hopes to gain some deeper understanding into the behaviour of neutrino beyond the Standard Model.
The relativistic Schrodinger equation is reinterpreted as describing a classical particle that mutually-interacts with other objects via electromagnetic-like gravity waves. The accompanying derivation equates the usual quantum mechanical energy and momentum operators to the effects of negative or attractive energy. Lorentz-like transformation equations are obtained that yield the uncertainty principle such that quantum uncertainty is ascribed to the disregard of a magnetic-like component of a gravity wave. Finally, quantum-level Maxwell-like equations that involve the above gravity waves are derived.
Persamaan Schrodinger kerelatifan ditafsirkan sebagai memperihalkan suatu zarah klasik yang berinteraksi dengan jasad-jasad lain melalui gelombang graviti yang berciri keelektromagnetan. Terbitan sampingan menyamakan pengoperasi-pengeoperasi tenaga dan momentum mekanik kuantum dengan kesan-kesan tenaga negatif atau tarikan. Persamaan-persamaan bermirip transformasi Lorentz diperolehi yang menerbitkan prinsip ketakpastian dan memberi ketakpastian kuantum sebagai kesan pengabaian bahagian gelombang graviti yang bermirip kemagnetan. Akhir sekali, persamaan-persamaan diparas kuntum yang bermirip persamaan-persamaan Maxwell diterbitkan dan melibatkan gelombang graviti yang tersebut di atas.